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Finding the Fourth Proportional to 6,530.64, 9,014.13 and 5,354.52

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Solution

The fourth proportional to 6,530.64, 9,014.13 and 5,354.52 is: 7,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.64 : 9,014.13 = 5,354.52 : x
  2. Step 2: Convert to fraction form
    6,530.64/9,014.13 = 5,354.52/x
  3. Step 3: Cross multiply
    6,530.64x = 9,014.13 × 5,354.52
  4. Step 4: Simplify right side
    6,530.64x = 48,266,339.37
  5. Step 5: Solve for x
    x = 48,266,339.37/6,530.64
  6. Step 6: Final answer
    x = 7,390.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.